A few studies on distributed design of structured controllers can be found.
Before the notion of distributed design in [1]}, similar problems have been discussed in [2]}, [3]}.
The underlying idea is to reduce the norm of the input-output maps relevant to interactions among the subsystems and to guarantee the overall stability based on the small-gain theorem.
Distributed design of distributed controllers guaranteeing bounded-input bounded-output stability has been proposed in [4]} on the premise that interaction signals are bounded.
Different from the small-gain approaches, retrofit control has been proposed for distributed design of decentralized controllers [5]}, [6]}, [7]}.
Regarding distributed information structure, deadbeat control [1]}, [9]}, integral quadratic constraint approach [10]}, passivity-based approach [11]}, and system-level synthesis [12]}, [13]} approaches have been proposed.
